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arXiv · 1006.4753

Chaos of the logistic equation with piecewise constant argument

Marat Akhmet·Derya Altintan·Tanil Ergenc
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Abstract

We consider the logistic equation with different types of the piecewise constant argument. It is proved that the equation generates chaos and intermittency. Li-Yorke chaos is obtained as well as the chaos through period-doubling route. Basic plots are presented to show the complexity of the behavior.

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Marat Akhmet, Derya Altintan, Tanil Ergenc. 2010-06-24. Chaos of the logistic equation with piecewise constant argument. https://arxiv.org/abs/1006.4753

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